Matrix mechanics of the relativistic point particle and string in Clifford space

DOI10.1007/s00006-015-0557-6zbMath1339.83054arXiv1406.2830OpenAlexW1539793883MaRDI QIDQ284508

Kaare Borchsenius

Publication date: 18 May 2016

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2830

zbMATH Keywords

Hermitian matricesClifford algebrastringactionwave solutionsClifford spacegeneralized Poisson bracketsJackiw-Teitelboim termLorentz metricmatrix mechanicsquantized stringrelativistic point particlespace-time canonical variablesWeyl spinors

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Wave equation (35L05) Hermitian, skew-Hermitian, and related matrices (15B57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Special relativity (83A05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) PDEs in connection with relativity and gravitational theory (35Q75) Clifford algebras, spinors (15A66) Hamilton-Jacobi equations in mechanics (70H20) Equations of motion in general relativity and gravitational theory (83C10)

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Matrix mechanics of the relativistic point particle and string in Clifford space

Cites Work

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